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Finding the Third Proportional to 354,792 and 766,446

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Solution

The third proportional to 354,792 and 766,446 is: 1,655,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,792 : 766,446 = 766,446 : x
  2. Step 2: Convert to fraction form
    354,792/766,446 = 766,446/x
  3. Step 3: Cross multiply
    354,792x = 766,446 × 766,446
  4. Step 4: Simplify right side
    354,792x = 587,439,470,916
  5. Step 5: Solve for x
    x = 587,439,470,916/354,792
  6. Step 6: Final answer
    x = 1,655,729.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.